High order accurate two-step approximations for hyperbolic equations
نویسندگان
چکیده
منابع مشابه
Semidiscrete and single step fully discrete approximations for second order hyperbolic equations
Fimte element approximations are analysed, for initial boundary value problems far second ox&ezJiyperboUc équations For both semidiscrete andfully discrete schémas, optimal order rate o f convergence estimâtes in L are der wed, us ing L projections of the initial data as starting values À new class of single step fully discrete schemes is developed, which are high order accurate in time The sch...
متن کاملThe comparison of two high-order semi-discrete central schemes for solving hyperbolic conservation laws
This work presents two high-order, semi-discrete, central-upwind schemes for computing approximate solutions of 1D systems of conservation laws. We propose a central weighted essentially non-oscillatory (CWENO) reconstruction, also we apply a fourth-order reconstruction proposed by Peer et al., and afterwards, we combine these reconstructions with a semi-discrete central-upwind numerical flux ...
متن کاملElement Approximations to First-order Linear Hyperbolic Equations
Finite element approximations of the first-order hyperbolic equation U • Vu + au = / are considered on curved domains £2 C K2 . When part of the boundary of Í2 is characteristic, the boundary of numerical domain, Í2A , may become either an inflow or outflow boundary, so it is necessary to select an algorithm that will accommodate this ambiguity. This problem was motivated by a problem in acoust...
متن کاملTwo-Parameter, Arbitrary Order, Exponential Approximations for Stiff Equations
A two-parameter family of approximations to the exponential function is considered. Constraints on the parameters are determined which guarantee the approximations are ^-acceptable. The suitability of these approximations for 2-point vl-stable exponential fitting is established. Several numerical methods, which produce these approximations when solving y = \v, are presented.
متن کاملHigh Order Difference Approximations for the Linearized Euler Equations
The computers of today make it possible to do direct simulation of aeroacoustics, which is very computationally demanding since a very high resolution is needed. In the present thesis we study issues of relevance for aeroacoustic simulations. Paper A considers standard high order difference methods. We study two different ways of applying boundary conditions in a stable way. Numerical experimen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: RAIRO. Analyse numérique
سال: 1979
ISSN: 0399-0516
DOI: 10.1051/m2an/1979130302011